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Finding the Third Proportional to 375,924 and 826,284

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Solution

The third proportional to 375,924 and 826,284 is: 1,816,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,924 : 826,284 = 826,284 : x
  2. Step 2: Convert to fraction form
    375,924/826,284 = 826,284/x
  3. Step 3: Cross multiply
    375,924x = 826,284 × 826,284
  4. Step 4: Simplify right side
    375,924x = 682,745,248,656
  5. Step 5: Solve for x
    x = 682,745,248,656/375,924
  6. Step 6: Final answer
    x = 1,816,178.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.